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Finding the Fourth Proportional to 540,462.64, 745,791.96 and 310,941.04

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Solution

The fourth proportional to 540,462.64, 745,791.96 and 310,941.04 is: 429,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,462.64 : 745,791.96 = 310,941.04 : x
  2. Step 2: Convert to fraction form
    540,462.64/745,791.96 = 310,941.04/x
  3. Step 3: Cross multiply
    540,462.64x = 745,791.96 × 310,941.04
  4. Step 4: Simplify right side
    540,462.64x = 231,897,327,666.04
  5. Step 5: Solve for x
    x = 231,897,327,666.04/540,462.64
  6. Step 6: Final answer
    x = 429,071.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.